State the x and y intercept: y = -8/9x -16 ?

1 Answer
Apr 13, 2018

Answer:

#y#-intercept #= -16#
#x#-intercept #= -18#

Explanation:

Compare the equation to

#y= mx +c#

Where

  • #m=# the slope of the line
  • # c=# the #y#-intercept

Hence,

#c= -16#

i.e the #y#-intercept is #-16#.

At the #x#-intercept, #y=0#. Therefore, let #y=0#.

#y= -8/9x -16#

#0= -8/9x -16#

#8/9x= -16#

Divide both sides of the 'equal to' sign by #8/9#

#x= -18#

Hence, the #x#-intercept is #-18#.